Number

774

774 is a composite number, even, a calendar year.

774 (seven hundred seventy-four) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 43. Its proper divisors sum to 942, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DCCLXXIV and in binary, 1100000110.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Moran Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786

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Historical context — 774 AD

Calendar year

Year 774 (DCCLXXIV) was a common year starting on Saturday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 774 BC

Decade

This article concerns the period 779 BC – 770 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Tuesday
January 1, 774
Ended on: Tuesday
December 31, 774
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 770s
770–779
Century: 8th century
701–800
Millennium: 1st millennium
1–1000
Years ago: 1,252
1252 years before 2026.

In other calendars

Hebrew: 4534 / 4535 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 157 / 158 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Tiger
Sexagenary cycle position 51 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1317 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 152 / 153 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 766 / 767 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 696 / 695 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 18
Digit product: 196
Digital root: 9
Palindrome: No
Bit width: 10 bits
Reversed: 477
Recamán's sequence: a(883) = 774
Square (n²): 599,076
Cube (n³): 463,684,824
Divisor count: 12
σ(n) — sum of divisors: 1,716
φ(n) — Euler's totient: 252
Sum of prime factors: 51

Primality

Prime factorization: 2 × 3 ² × 43

Nearest primes: 773 (−1) · 787 (+13)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 43 · 86 · 129 · 258 · 387 (half) · 774

Aliquot sum (sum of proper divisors): 942

Factor pairs (a × b = 774)

1 × 774

2 × 387

3 × 258

6 × 129

9 × 86

18 × 43

First multiples

774 · 1,548 (double) · 2,322 · 3,096 · 3,870 · 4,644 · 5,418 · 6,192 · 6,966 · 7,740

Sums & aliquot sequence

As consecutive integers: 257 + 258 + 259 192 + 193 + 194 + 195 82 + 83 + … + 90 59 + 60 + … + 70

Aliquot sequence: 774 → 942 → 954 → 1,152 → 2,163 → 1,165 → 239 → 1 → 0 — terminates at zero

Continued fraction of √n

√774 = [27; (1, 4, 1, 1, 2, 1, 1, 4, 1, 54)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: seven hundred seventy-four
Ordinal: 774th
Roman numeral: DCCLXXIV
Binary: 1100000110
Octal: 1406
Hexadecimal: 0x306
Base64: AwY=
One's complement: 64,761 (16-bit)
Scientific notation: 7.74 × 10²
As a duration: 774 s = 12 minutes, 54 seconds

In other bases

ternary (3) 1001200

quaternary (4) 30012

quinary (5) 11044

senary (6) 3330

septenary (7) 2154

nonary (9) 1050

undecimal (11) 644

duodecimal (12) 546

tridecimal (13) 477

tetradecimal (14) 3d4

pentadecimal (15) 369

As an angle

774° = 2 × 360° + 54°

54° ≈ 0.942 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ψοδʹ
Mayan (base 20): 𝋡·𝋲·𝋮
Chinese: 七百七十四
Chinese (financial): 柒佰柒拾肆

In other modern scripts

Eastern Arabic ٧٧٤ Devanagari ७७४ Bengali ৭৭৪ Tamil ௭௭௪ Thai ๗๗๔ Tibetan ༧༧༤ Khmer ៧៧៤ Lao ໗໗໔ Burmese ၇၇၄

Digit at this position in famous constants

π — Pi (π): Digit 774 = 7
e — Euler's number (e): Digit 774 = 4
φ — Golden ratio (φ): Digit 774 = 8
√2 — Pythagoras's (√2): Digit 774 = 6
ln 2 — Natural log of 2: Digit 774 = 5
γ — Euler-Mascheroni (γ): Digit 774 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 774, here are decompositions:

5 + 769 = 774
13 + 761 = 774
17 + 757 = 774
23 + 751 = 774
31 + 743 = 774
41 + 733 = 774
47 + 727 = 774
73 + 701 = 774

Showing the first eight; more decompositions exist.

Unicode codepoint

Combining Breve

U+0306

Non-spacing mark (Mn)

UTF-8 encoding: CC 86 (2 bytes).

Lookup U+0306 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000306

RGB(0, 3, 6)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.6.

Address: 0.0.3.6
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.6

Unspecified address (0.0.0.0/8) — "this network" placeholder.

NANP area code 774

The number 774 is an active NANP area code (North American Numbering Plan).

Primary area: Worcester / Cape Cod
Region: Massachusetts
Country: United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 774 ↗

Musical pitch

Heard as a frequency, 774 Hz is closest to:

Concert pitch (A4 = 440 Hz): G5 (784 Hz, -22¢)
Scientific pitch (C4 = 256 Hz): G5 (767.1 Hz, +15¢)
Baroque pitch (A4 = 415 Hz): G♯5 (783.4 Hz, -21¢)